Chapter 11.6, Problem 1STP

Solve each exercise and enter your answer on the grid provided.

Suppose y varies inversely with x, and $y=16whenx=4$.

What is the constant of variation k?

To determine

To calculate : the constant of variation $k$

Answer to Problem 1STP

The value of $k=64$

Explanation of Solution

Given information : $y$ varies inversely with $x$ , and $y=16$ when $x=4$

Calculation :

  $y$ Varies inversely with $x$

  $\begin{array}{l}y\alpha \frac{k}{x}\\ y=\frac{k}{x}\\ k=xy\\ y=16\\ x=4\\ k=4\times 16\\ k=64\end{array}$